On More General Fractional Differential Equations Involving Mixed Generalized Derivatives with Nonlocal Multipoint and Generalized Fractional Integral Boundary Conditions

Abstract EN

This paper deals with the existence of solutions for a new boundary value problem involving mixed generalized fractional derivatives of Riemann-Liouville and Caputo supplemented with nonlocal multipoint boundary conditions.

The existence results for inclusion case are also discussed.

The nonlinear term belongs to a general abstract space, and our results rely on modern theorems of fixed point.

Ulam stability is also presented.

We provide some examples that well-illustrate our main results.